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Finding the Fourth Proportional to 213,903.36, 295,186.73 and 117,113.49

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Solution

The fourth proportional to 213,903.36, 295,186.73 and 117,113.49 is: 161,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,903.36 : 295,186.73 = 117,113.49 : x
  2. Step 2: Convert to fraction form
    213,903.36/295,186.73 = 117,113.49/x
  3. Step 3: Cross multiply
    213,903.36x = 295,186.73 × 117,113.49
  4. Step 4: Simplify right side
    213,903.36x = 34,570,347,566.42
  5. Step 5: Solve for x
    x = 34,570,347,566.42/213,903.36
  6. Step 6: Final answer
    x = 161,616.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.